You don't need to answer question 7, just answer question 8. I just added it for context for question 8 since it references the question. Thanks!!

7. (18 points) Consider the data obtained in a study on students' grade point average (GPA) and final scores of seven randomly selected students from a Statistics class. The data are shown here. (Data set: Final) Student GPA Number of Courses Final A 3.2 4 85 B 2.7 3 87 C 2.5 3 80 D 3.4 4 97 E 2.2 3 70 F 3.7 5 95 G 3.8 6 99 a) [3] Provide a description of the scatterplot for the two variables mentioned above. b) [4] Conduct a complete simple linear regression analysis of the relationship between the students' GPA and their final scores and write down the fitted least squares regression line to predict the GPA from the students' final scores. (in words) c) [4] Interprete the value of slope of the least squares line from (b). d) [4] Predict a student's GPA who got 82% on the final exam and interpret the corresponding 95% prediction interval. e) [3] Find the coefficient of the determination, and interpret the result. [3 marks]8. (7 points) Suppose in question 7, we would like to incorporate another variable such as the number of courses taken by students into the model in order to make an accurate prediction of the GPA. a) [2] Write the least squares prediction equation for the GPA using the final score and number of courses. Student's name: Please go on to the next page. .. Statistics STAT 106 Page 7 of 7 b) [5] Conduct the global F -test of model usefulness at the a = .05 level of significance write down your conclusion